Originally the loss of network was being caused by my temperamental NetGear powerline adapter resetting itself. However, you can get the same crash by simply pulling the network cable out the back of the PC
So the solution to my problem was to fix my powerline adapter issue. However, loss of network is something that a game like this should be able to handle without crashing. Here's all the debug info I was able to gather..
WinDBG Crash MiniDump (906 downloads)Application Debug Output